A T-shirt comes in different sizes. A large T-shirt is 27.5 in. wide and 29.5 in. long. If a small youth T-shirt is 15.5 in. wide, what is its length to the nearest inch if it is similar to the large t-shirt? Show your work or explain your process.
Since the youth T-shirt is similar to the large T-shirt, we can set up a proportion to find the length of the youth T-shirt.
Let x be the length of the youth T-shirt.
Using the ratio of corresponding sides of similar shapes:
27.5 in / 29.5 in = 15.5 in / x
To find x, cross multiply and solve for x:
27.5 in * x = 15.5 in * 29.5 in
x = (15.5 in * 29.5 in) / 27.5 in
x = 16.65 in
Therefore, the length of the small youth T-shirt to the nearest inch is 17 inches.